Final answer:
To find the amount to be invested in each enterprise, we can set up an equation based on the total income per year and solve for the investment amounts.
Step-by-step explanation:
Let's assume the amount invested in the enterprise paying 6% annually is x. Then the amount invested in the enterprise with more risk paying 7% annually will be 20000 - x (because the total amount invested is $20,000).
Now, we can write an equation based on the total income per year:
0.06x + 0.07(20000 - x) = 1440
Solving this equation will give us the value of x and 20000 - x, which will tell us the amount to be invested in each enterprise.